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Two bodies are projected from the same point with same speed in the directions making an angle `alpha_(1)` and `alpha_(2)` with the horizontal and strike at same point in the horizontal plane through a point of projection. If `t_(1)` and `t_(2)` are their time of flights.Then `(t_(1)^(2)-t_(2)^(2))/(t_(1)^(2)+t_(2)^(2))`

A

`(tan (alpha_(1)-alpha_(2)))/(tan (alpha_(1)+alpha_(2)))`

B

`(sin (alpha_(1)+alpha_(2)))/(sin (alpha_(1)-alpha_(2)))`

C

`(sin (alpha_(1)-alpha_(2)))/(sin (alpha_(1)+alpha_(2)))`

D

`(sin^(2) (alpha_(1)-alpha_(2)))/(sin^(2) (alpha_(1)+alpha_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
C
`h=(1)/(2) "gt"^(2)-u sin theta t`
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